g

Gravitational attraction

X,Y

Non-dimensional Cartesian coordinates

Nu

Nusselt number

U,V

Non-dimensional velocity components

P

Dimensional Pressure

Greek Symbols

p

Pressure

$\alpha$

Thermal diffusivity

Pr

Prandtl number

$\beta$

Volumetric coefficient of thermal expansion

Ha

Hartmann number

$\upsilon$

Kinematic viscosity of the fluid

Re

Reynolds number

$\theta$

Non-dimensional temperature

Ri

Richardson number

$\rho$

Density of the fluid

Gr

Grashof number

Subscripts

x, y

Cartesian coordinates

c

Cold wall

u, v

Velocity component

h

Hot wall

T

Temperature